## Abstract Let \input amssym $S\subset{\Bbb R}^2$ be a bounded domain with boundary of class __C__^∞^, and let __g__~__ij__~ = δ~__ij__~ denote the flat metric on \input amssym ${\Bbb R}^2$. Let __u__ be a minimizer of the Willmore functional within a subclass (defined by prescribing boundary cond
✦ LIBER ✦
On derivation of Euler–Lagrange equations for incompressible energy-minimizers
✍ Scribed by Nirmalendu Chaudhuri; Aram L. Karakhanyan
- Publisher
- Springer
- Year
- 2009
- Tongue
- English
- Weight
- 284 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0944-2669
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Following the path integral formalism for stochastic processes, we study formal properties of the extremal path, the Euler-Lagrange (E-L) equation and a first integral of it. A special interest is focused in the connection between this first integral and the boundary conditions. We are interested in